Christopher is (almost) right.
The stage or guitar amplifier question is secondary and a question of frequency response and volume level. The B3 can we'll be played through a studio monitor, I for example play it through a Yamaha MSP-5.
Interference is a complex topic when it comes to Theremins. Since these are highly sensitive radio frequency devices, they can, depending on the environment, act as a radio receiver or capture radiation from switched mode power supplies as you find them in computers, laptops, cell phones, energy saving light bulbs, dimmers, and sometimes in amplifiers, too. One way to reduce these problems is to set up the theremin in a most radiation free environment. That, in combination with a well grounded circuit, solves 95% of problems. Well grounded means that exactly one device in the chain is grounded via the third pin of a three pin wall plug. Since the small B3 power supply has no ground pin, it is very important that the amplifier (be it for guitars, keyboards or whatever) has one. This ground contact is then "routed" to the theremin via the shielding of the audio cable between the instrument and the amplifier. Seen the relatively high sensitivity of a theremin, it is very important to use a well shielded cable, the cheaper ones don't do that job.
Although I own many different Theremins, I make always sure that there is only one running at a time and that all other not needed electrical devices are switched off, too. Furthermore, I use only "classic" light bulbs in my 180sqft music room and I make sure that I have always a radius of 6ft which means a diameter of 12ft of free space around the theremin which I play. The result is that I have no interference problems, neither with the B3, nor with other Theremins.